Results 11 to 20 of about 6,096 (154)
Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability
Proceedings of the London Mathematical Society, Volume 122, Issue 1, Page 42-68, January 2021., 2021 Abstract We explore the existence and nonlinear stability of boundary spike‐layer solutions of the Keller–Segel system with logarithmic singular sensitivity in the half space, where the physical zero‐flux and Dirichlet boundary conditions are prescribed.
Jose A. Carrillo +2 more
wiley +1 more source
Three Systems of Workers' Compensation [PDF]
, 1998 Only three countries in the world maintain sub-national workers' compensation systems:Australia, Canada, and the United States. Three models are used to organize the insuranceresponsibilities for making the payments to injured or ill workers: private ...
H. Allan Hunt
core +2 more sources
Advances in Nonlinear Analysis, 2023 In this article, we formulate and perform a strict analysis of a reaction–diffusion mosquito-borne disease model with total human populations stabilizing at H(x) in a spatially heterogeneous environment.
Wang Jinliang, Wu Wenjing, Li Chunyang
doaj +1 more source
On a system of multi-component Ginzburg-Landau vortices
Advances in Nonlinear Analysis, 2023 We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as ε→0\varepsilon \to 0. We prove that the minimizers converge locally in any Ck{C}^{k}-norm to a solution of a system of generalized harmonic map equations.
Hadiji Rejeb, Han Jongmin, Sohn Juhee
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Asymptotic analysis for the eikonal equation with the dynamical boundary conditions
Mathematische Nachrichten, Volume 287, Issue 14-15, Page 1563-1588, October 2014., 2014 We study the dynamical boundary value problem for Hamilton‐Jacobi equations of the eikonal type with a small parameter. We establish two results concerning the asymptotic behavior of solutions of the Hamilton‐Jacobi equations: one concerns with the convergence of solutions as the parameter goes to zero and the other with the large‐time asymptotics of ...
Eman S. Al‐Aidarous +3 more
wiley +1 more source
Journal of Function Spaces, Volume 8, Issue 1, Page 17-54, 2010., 2010 The present work is devoted to the study of homogenization of the weakly damped wave equation ∫Ωρε∂2uε∂t2(t)⋅υdx+2ε2μ∫ΩfεEij(∂uε∂t(t))Eij(υ)dx+ε2λ∫Ωfεdiv(∂uε∂t(t))div υdx+ϑ∫Ωfεdiv(uε(t))divυdx=∫Ωf(t) · υdx for all υ=(υ1, υ2, υ3) ∈ Vε(0 < t < T), with initial conditions uε(0)=∂uε∂t(0)=ω (the origin in ℝ3). Convergence homogenization results are achieved
Gabriel Nguetseng +3 more
wiley +1 more source
Existence and stability of multiple spot solutions for the gray-scott model in R^2 [PDF]
, 2005 We study the Gray-Scott model in a bounded two dimensional domain and establish the existence and stability of {\bf symmetric} and {\bf asymmetric} multiple spotty patterns. The Green's function and its derivatives together with two nonlocal eigenvalue
Wei, J, Winter, M
core +1 more source
Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
Journal of Function Spaces, Volume 7, Issue 2, Page 121-152, 2009., 2009 We study reiterated homogenization of a nonlinear non‐periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. Our approach proceeds from an appropriate notion of convergence termed reiterated Σ‐convergence.
Dag Lukkassen +4 more
wiley +1 more source
Phragm\'en-Lindel\"of theorem for infinity harmonic functions [PDF]
, 2015 We investigate a version of the Phragm\'en-Lindel\"of theorem for solutions of the equation $\Delta_\infty u=0$ in unbounded convex domains. The method of proof is to consider this infinity harmonic equation as the limit of the $p$-harmonic equation when
Granlund, Seppo, Marola, Niko
core +2 more sources
Two‐scale convergence with respect to measures and homogenization of monotone operators
Journal of Function Spaces, Volume 3, Issue 2, Page 125-161, 2005., 2005 In 1989 Nguetseng introduced two‐scale convergence, which now is a frequently used tool in homogenization of partial differential operators. In this paper we discuss the notion of two‐scale convergence with respect to measures. We make an exposition of the basic facts of this theory and develope it in various ways.
Dag Lukkassen +2 more
wiley +1 more source